Explicit Time-Domain Approach for Random Vibration Analysis of Jacket Platforms Subjected to Wave Loads

This paper is devoted to the random vibration analysis of jacket platforms under wave loads using the explicit time-domain approach. The Morison equation is first used to obtain the nonlinear random wave loads, which are discretized into random loading vectors at a series of time instants. The Newma...

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Main Authors: Wei Lin, Cheng Su, Youhong Tang
Format: Article
Language:English
Published: MDPI AG 2020-12-01
Series:Journal of Marine Science and Engineering
Subjects:
Online Access:https://www.mdpi.com/2077-1312/8/12/1001
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author Wei Lin
Cheng Su
Youhong Tang
author_facet Wei Lin
Cheng Su
Youhong Tang
author_sort Wei Lin
collection DOAJ
description This paper is devoted to the random vibration analysis of jacket platforms under wave loads using the explicit time-domain approach. The Morison equation is first used to obtain the nonlinear random wave loads, which are discretized into random loading vectors at a series of time instants. The Newmark-<i>β</i> integration scheme is then employed to construct the explicit expressions for dynamic responses of jacket platforms in terms of the random vectors at different time instants. On this basis, Monte Carlo simulation can further be conducted at high efficiency, which not only provides the statistical moments of the random responses, but also gives the mean peak values of responses. Compared with the traditional power spectrum method, nonlinear wave loads can be readily taken into consideration in the present approach rather than using the equivalent linearized Morison equation. Compared with the traditional Monte Carlo simulation, the response statistics can be obtained through the direct use of the explicit expressions of dynamic responses rather than repeatedly solving the equation of motion. An engineering example is analyzed to illustrate the accuracy and efficiency of the present approach.
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spelling doaj.art-701a0d9129c24b2388ffebf2b8e6b7b62023-11-20T23:50:35ZengMDPI AGJournal of Marine Science and Engineering2077-13122020-12-01812100110.3390/jmse8121001Explicit Time-Domain Approach for Random Vibration Analysis of Jacket Platforms Subjected to Wave LoadsWei Lin0Cheng Su1Youhong Tang2School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, ChinaSchool of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, ChinaCollege of Science and Engineering, Flinders University, South Australia 5042, AustraliaThis paper is devoted to the random vibration analysis of jacket platforms under wave loads using the explicit time-domain approach. The Morison equation is first used to obtain the nonlinear random wave loads, which are discretized into random loading vectors at a series of time instants. The Newmark-<i>β</i> integration scheme is then employed to construct the explicit expressions for dynamic responses of jacket platforms in terms of the random vectors at different time instants. On this basis, Monte Carlo simulation can further be conducted at high efficiency, which not only provides the statistical moments of the random responses, but also gives the mean peak values of responses. Compared with the traditional power spectrum method, nonlinear wave loads can be readily taken into consideration in the present approach rather than using the equivalent linearized Morison equation. Compared with the traditional Monte Carlo simulation, the response statistics can be obtained through the direct use of the explicit expressions of dynamic responses rather than repeatedly solving the equation of motion. An engineering example is analyzed to illustrate the accuracy and efficiency of the present approach.https://www.mdpi.com/2077-1312/8/12/1001jacket platformwave loadrandom vibrationexplicit time-domain methodMonte Carlo simulation
spellingShingle Wei Lin
Cheng Su
Youhong Tang
Explicit Time-Domain Approach for Random Vibration Analysis of Jacket Platforms Subjected to Wave Loads
Journal of Marine Science and Engineering
jacket platform
wave load
random vibration
explicit time-domain method
Monte Carlo simulation
title Explicit Time-Domain Approach for Random Vibration Analysis of Jacket Platforms Subjected to Wave Loads
title_full Explicit Time-Domain Approach for Random Vibration Analysis of Jacket Platforms Subjected to Wave Loads
title_fullStr Explicit Time-Domain Approach for Random Vibration Analysis of Jacket Platforms Subjected to Wave Loads
title_full_unstemmed Explicit Time-Domain Approach for Random Vibration Analysis of Jacket Platforms Subjected to Wave Loads
title_short Explicit Time-Domain Approach for Random Vibration Analysis of Jacket Platforms Subjected to Wave Loads
title_sort explicit time domain approach for random vibration analysis of jacket platforms subjected to wave loads
topic jacket platform
wave load
random vibration
explicit time-domain method
Monte Carlo simulation
url https://www.mdpi.com/2077-1312/8/12/1001
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AT youhongtang explicittimedomainapproachforrandomvibrationanalysisofjacketplatformssubjectedtowaveloads